a and b are two positive integers such that the least prime factor of a is 3 and least prime factor of b is 5 then find the least prime factor of a + b.
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Answer is 2.
Clearly, 2 is neither a factor of a nor that of b.
.: a and b are both odd.
Hence, (a + b) is even.
.: least prime factor of (a + b) is 2
Clearly, 2 is neither a factor of a nor that of b.
.: a and b are both odd.
Hence, (a + b) is even.
.: least prime factor of (a + b) is 2
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